Write the equation in exponential form. \[ \log \left(\frac{1}{100,000}\right)=-5 \] The equation in exponential form is

Step 1 ：Write the equation in exponential form. The equation given is \(\log \left(\frac{1}{100,000}\right)=-5\)

Step 2 ：The equation in logarithmic form. To convert it to exponential form, we need to remember that the logarithm base b of a number x is equal to y if and only if b raised to the power y equals x. In this case, the base is 10 (since it's not specified), the number is 1/100,000, and the logarithm is -5.

Step 3 ：So, we can write this as 10 raised to the power -5 equals 1/100,000.

Step 4 ：The final answer is \(\boxed{10^{-5} = \frac{1}{100,000}}\)